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Zbl 1234.54051
Aydi, Hassen
Fixed point results for weakly contractive mappings in ordered partial metric spaces.
(English)
[J] J. Adv. Math. Stud. 4, No. 2, 1-12 (2011). ISSN 2065-3506; ISSN 2065-5851/e

Summary: We prove some fixed point theorems for weakly $C$-contractive mappings in ordered partial metric spaces. These results extend the main theorems of {\it J. Harjani}, {\it B. López} and {\it K. Sadarangani} [Fixed point theorems for weakly contractive mappings in ordered metric spaces, [Comput. Math. Appl. 61, No. 4, 790--796 (2011; Zbl 1217.54046)] to the class of partially ordered partial metric spaces.
MSC 2000:
*54H25 Fixed-point theorems in topological spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: partially ordered; partial metrics; fixed point; weakly $C$-contraction

Citations: Zbl 1217.54046

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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